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Finding the Fourth Proportional to 4,654.55, 6,978.58 and 2,187

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Solution

The fourth proportional to 4,654.55, 6,978.58 and 2,187 is: 3,278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.55 : 6,978.58 = 2,187 : x
  2. Step 2: Convert to fraction form
    4,654.55/6,978.58 = 2,187/x
  3. Step 3: Cross multiply
    4,654.55x = 6,978.58 × 2,187
  4. Step 4: Simplify right side
    4,654.55x = 15,262,155.14
  5. Step 5: Solve for x
    x = 15,262,155.14/4,654.55
  6. Step 6: Final answer
    x = 3,278.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.